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Simplifying 3b + 18 + -12 = 32 + b Reorder the terms: 18 + -12 + 3b = 32 + b Combine like terms: 18 + -12 = 6 6 + 3b = 32 + b Solving 6 + 3b = 32 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 6 + 3b + -1b = 32 + b + -1b Combine like terms: 3b + -1b = 2b 6 + 2b = 32 + b + -1b Combine like terms: b + -1b = 0 6 + 2b = 32 + 0 6 + 2b = 32 Add '-6' to each side of the equation. 6 + -6 + 2b = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 2b = 32 + -6 2b = 32 + -6 Combine like terms: 32 + -6 = 26 2b = 26 Divide each side by '2'. b = 13 Simplifying b = 13
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